Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104r |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-34850487720738816 = -1 · 219 · 39 · 72 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133217,-20714271] |
[a1,a2,a3,a4,a6] |
Generators |
[969:27552:1] |
Generators of the group modulo torsion |
j |
-997392270041497/132944060214 |
j-invariant |
L |
4.0932426397272 |
L(r)(E,1)/r! |
Ω |
0.12402715856399 |
Real period |
R |
1.3751163747599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104dc1 1722g1 |
Quadratic twists by: -4 8 |